A unified approach for solving linear and nonlinear odd-order two-point boundary value problems
type: Item
instance of: scholarly article
title: A unified approach for solving linear and nonlinear odd-order two-point boundary value problems
zbMATH Open document ID: 1445.65027
author: Waleed M. Abd-Elhameed
author: Anna Napoli
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2020-04-23T00:00:00Z
review text: In this article new spectral solutions for odd-order two-point boundary value problems are obtained. A numerical algorithm based on collocation methods is implemented and analyzed. A new matrix of derivatives for a certain Legendre basis polynomials is derived. The proposed algorithm has the advantage to be applicable to both linear and nonlinear odd-order two-point boundary value problems. The convergence and error analysis are investigated. Five illustrative examples supported with comparisons are displayed to ensure the efficiency and applicability of the proposed algorithm.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 7192876
zbMATH Keywords: boundary value problems
zbMATH Keywords: collocation method
zbMATH Keywords: convergence analysis
zbMATH Keywords: Legendre polynomials
reviewed by: Yang Yang
MaRDI profile type: Publication
full work available at URL: s40840-019-00840-7
OpenAlex ID: W2975012360
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DOI: 10.1007/S40840-019-00840-7
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description: scientific article; zbMATH DE number 7192876